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Random Averaging of Vector Elements
SIAM Journal on Applied Mathematics, 1984It is shown that the law of large numbers holds for the random vector sequence \(X_ n\) given by starting from a real vector \((x_ 1,x_ 2,...,x_ n)\) and successively replacing \(x^ i_{n-1}\) and \(x^ j_{n-1}\) by \(\lambda x^ i_{n-1}+x^ j_{n-1}(1-\lambda)\) and \((1- \lambda)x^ i_{n-1}+\lambda x^ j_{n-1}\), respectively, with random choice of i,j, and
Proschan, Frank, Shaked, Moshe
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International Journal for Numerical Methods in Engineering, 1986
AbstractThe probabilistic finite element method (PFEM) is formulated for linear and non‐linear continua with inhomogeneous random fields. Analogous to the discretization of the displacement field in finite element methods, the random field is also discretized.
Liu, Wing Kam, Belytschko, Ted, Mani, A.
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AbstractThe probabilistic finite element method (PFEM) is formulated for linear and non‐linear continua with inhomogeneous random fields. Analogous to the discretization of the displacement field in finite element methods, the random field is also discretized.
Liu, Wing Kam, Belytschko, Ted, Mani, A.
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A Markov Evolving Random Field and Spliting Random Elements
Theory of Probability & Its Applications, 1993See the review in Zbl 0766.60057.
Greenwood, P. E., Evstigneev, I. V.
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Convergence of random elements
2000There are various kinds of convergence of random elements, important from the probabilistic viewpoint. Here we recall some of them. The main attention will be paid to the following types of convergence of random elements: 1) convergence almost surely (or convergence with probability one); 2) convergence in probability; 3)
V. V. Buldygin, A. B. Kharazishvili
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Strong previsions of random elements
Statistical Methods & Applications, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BERTI P. +2 more
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Characteristic Operators and Conditioned Random Elements*
Journal of Mathematical Sciences, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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